Average daily wages of A, B and C is Rs., 120 . If B earns Rs.,40 more than C per day and A earns do

English

Gujarati

Hindi

4.Average

medium

The average daily wages of $A, B$ and $C$ is $Rs.\, 120 .$ If $B$ earns $Rs.\,40$ more than $C$ per $day$ and $A$ earns double of what $C$ earns per $day,$ the wages of $A$ per $day$ is (in $Rs.$)

A

$80$

B

$120$

C

$160$

D

$100$

Solution

Let, daily wages of $C=x$

Then, daily wages of $A=2 x$

and, daily wages of $B =x+40$

Hence, average daily wages of $A, B$ and $C$

$=\frac{x+2 x+x+40}{3}=\frac{4 x+40}{3}$

$\therefore \quad \frac{4 x+40}{3}=120$ or, $4 x+40=360$

$\Rightarrow \quad 4 x=320$ or, $x=80$

$\therefore$ Daily wages of $A=2 \times 80=Rs. 160$

Standard 13

Quantitative Aptitude

Share

Similar Questions

Sachin Tendulkar has a certain average for $11$ innings. In the $12^{th}$ innings he scores $120$ runs and thereby increases his average by $5$ runs. His new average is

medium

In a class, average height of all students is '$a$ ' cms. Among them, average height of $10$ students is '$b$' cms and the average height of the remaining students is '$c$' cms. Find the number of students in the class. (Here $a>c$ and $b>c$ )

hard

The average marks of a group of $20$ students on a test is reduced by $4$ when the topper who scored $90$ marks is replaced of a new students. Find the marks of the new student.

easy

The average temperature of Monday, Tuesday, Wednesday and Thursday is $60^{\circ}$. The average temperature for Tuesday, Wednesday, Thursday and Friday is $63^{\circ}$. If the ratio of temperature for Monday and Friday is $21: 25,$ then what is the temperature of Friday? (in $^{\circ}$)

medium

A person travelled from one place to another at an average speed of $40 \,km / h$ and back to the original place at an average speed of $50\, km / h$. What is his average speed in $km / h$ during the entire trip?

medium